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1984083048 = 233227556709
BaseRepresentation
bin111011001000010…
…1011010001101000
312010021101212021100
41312100223101220
513030411124143
6524513441400
7100111266453
oct16620532150
95107355240
101984083048
11928a65a62
12474570260
1325809354c
1414b71449a
15b92bb6d3
hex7642b468

1984083048 has 24 divisors (see below), whose sum is σ = 5373558450. Its totient is φ = 661360992.

The previous prime is 1984083019. The next prime is 1984083067. The reversal of 1984083048 is 8403804891.

It can be written as a sum of positive squares in only one way, i.e., 1638792324 + 345290724 = 40482^2 + 18582^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 1984082994 and 1984083012.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13778283 + ... + 13778426.

Almost surely, 21984083048 is an apocalyptic number.

1984083048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1984083048 is an abundant number, since it is smaller than the sum of its proper divisors (3389475402).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1984083048 is a wasteful number, since it uses less digits than its factorization.

1984083048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27556721 (or 27556714 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1984083048 is about 44543.0471342049. The cubic root of 1984083048 is about 1256.5697933316.

The spelling of 1984083048 in words is "one billion, nine hundred eighty-four million, eighty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 27556709 55113418 82670127 110226836 165340254 220453672 248010381 330680508 496020762 661361016 992041524 1984083048